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A current \(I\) flows around the rectangular loop shown in the figure. Evaluate \(\oint\vec{\mathbf{B}}\cdot d\vec{\mathbf{\ell}}\) for the paths \(A\), \(B\), \(C\), and \(D\).

Rectangular loop of current with four different Amperian loops

Part 1#

Path \(A\):

Answer Section#

Part 2#

Path \(B\):

Answer Section#

Part 3#

Path \(C\):

Answer Section#

Part 4#

Path \(D\):

Answer Section#

Attribution#

Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.